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Finding the Fourth Proportional to 459,735,273.60, 689,602,910.40 and 409,850,678.40

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Solution

The fourth proportional to 459,735,273.60, 689,602,910.40 and 409,850,678.40 is: 614,776,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,735,273.60 : 689,602,910.40 = 409,850,678.40 : x
  2. Step 2: Convert to fraction form
    459,735,273.60/689,602,910.40 = 409,850,678.40/x
  3. Step 3: Cross multiply
    459,735,273.60x = 689,602,910.40 × 409,850,678.40
  4. Step 4: Simplify right side
    459,735,273.60x = 282,634,220,654,054,400
  5. Step 5: Solve for x
    x = 282,634,220,654,054,400/459,735,273.60
  6. Step 6: Final answer
    x = 614,776,017.60

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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.