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Finding the Fourth Proportional to 409,688,261.60, 614,532,392.40 and 402,885,816.80

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Solution

The fourth proportional to 409,688,261.60, 614,532,392.40 and 402,885,816.80 is: 604,328,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,688,261.60 : 614,532,392.40 = 402,885,816.80 : x
  2. Step 2: Convert to fraction form
    409,688,261.60/614,532,392.40 = 402,885,816.80/x
  3. Step 3: Cross multiply
    409,688,261.60x = 614,532,392.40 × 402,885,816.80
  4. Step 4: Simplify right side
    409,688,261.60x = 247,586,384,862,132,096
  5. Step 5: Solve for x
    x = 247,586,384,862,132,096/409,688,261.60
  6. Step 6: Final answer
    x = 604,328,725.20

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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.