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Finding the Fourth Proportional to 847,545, 1,169,612.10 and 465,578.16

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Solution

The fourth proportional to 847,545, 1,169,612.10 and 465,578.16 is: 642,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,545 : 1,169,612.10 = 465,578.16 : x
  2. Step 2: Convert to fraction form
    847,545/1,169,612.10 = 465,578.16/x
  3. Step 3: Cross multiply
    847,545x = 1,169,612.10 × 465,578.16
  4. Step 4: Simplify right side
    847,545x = 544,545,849,431.74
  5. Step 5: Solve for x
    x = 544,545,849,431.74/847,545
  6. Step 6: Final answer
    x = 642,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.