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Finding the Fourth Proportional to 459,957,781.60, 689,936,672.40 and 136,841,653.60

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Solution

The fourth proportional to 459,957,781.60, 689,936,672.40 and 136,841,653.60 is: 205,262,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,957,781.60 : 689,936,672.40 = 136,841,653.60 : x
  2. Step 2: Convert to fraction form
    459,957,781.60/689,936,672.40 = 136,841,653.60/x
  3. Step 3: Cross multiply
    459,957,781.60x = 689,936,672.40 × 136,841,653.60
  4. Step 4: Simplify right side
    459,957,781.60x = 94,412,075,130,497,472
  5. Step 5: Solve for x
    x = 94,412,075,130,497,472/459,957,781.60
  6. Step 6: Final answer
    x = 205,262,480.40

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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.