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Finding the Fourth Proportional to 459,781,852.60, 689,672,778.90 and 409,897,257.40

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Solution

The fourth proportional to 459,781,852.60, 689,672,778.90 and 409,897,257.40 is: 614,845,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,781,852.60 : 689,672,778.90 = 409,897,257.40 : x
  2. Step 2: Convert to fraction form
    459,781,852.60/689,672,778.90 = 409,897,257.40/x
  3. Step 3: Cross multiply
    459,781,852.60x = 689,672,778.90 × 409,897,257.40
  4. Step 4: Simplify right side
    459,781,852.60x = 282,694,980,574,546,560
  5. Step 5: Solve for x
    x = 282,694,980,574,546,560/459,781,852.60
  6. Step 6: Final answer
    x = 614,845,886.10

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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.