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Finding the Fourth Proportional to 427,065,781.60, 640,598,672.40 and 355,640,111.20

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Solution

The fourth proportional to 427,065,781.60, 640,598,672.40 and 355,640,111.20 is: 533,460,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,065,781.60 : 640,598,672.40 = 355,640,111.20 : x
  2. Step 2: Convert to fraction form
    427,065,781.60/640,598,672.40 = 355,640,111.20/x
  3. Step 3: Cross multiply
    427,065,781.60x = 640,598,672.40 × 355,640,111.20
  4. Step 4: Simplify right side
    427,065,781.60x = 227,822,583,086,908,352
  5. Step 5: Solve for x
    x = 227,822,583,086,908,352/427,065,781.60
  6. Step 6: Final answer
    x = 533,460,166.80

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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.