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Finding the Fourth Proportional to 459,903,627.60, 689,855,441.40 and 417,577,304.40

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Solution

The fourth proportional to 459,903,627.60, 689,855,441.40 and 417,577,304.40 is: 626,365,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,903,627.60 : 689,855,441.40 = 417,577,304.40 : x
  2. Step 2: Convert to fraction form
    459,903,627.60/689,855,441.40 = 417,577,304.40/x
  3. Step 3: Cross multiply
    459,903,627.60x = 689,855,441.40 × 417,577,304.40
  4. Step 4: Simplify right side
    459,903,627.60x = 288,067,975,645,484,128
  5. Step 5: Solve for x
    x = 288,067,975,645,484,128/459,903,627.60
  6. Step 6: Final answer
    x = 626,365,956.60

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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.