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Finding the Fourth Proportional to 898,320,689.40, 1,347,984,918.90 and 380,663,038.20

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Solution

The fourth proportional to 898,320,689.40, 1,347,984,918.90 and 380,663,038.20 is: 571,208,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,320,689.40 : 1,347,984,918.90 = 380,663,038.20 : x
  2. Step 2: Convert to fraction form
    898,320,689.40/1,347,984,918.90 = 380,663,038.20/x
  3. Step 3: Cross multiply
    898,320,689.40x = 1,347,984,918.90 × 380,663,038.20
  4. Step 4: Simplify right side
    898,320,689.40x = 513,128,034,676,254,592
  5. Step 5: Solve for x
    x = 513,128,034,676,254,592/898,320,689.40
  6. Step 6: Final answer
    x = 571,208,078.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.