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Finding the Fourth Proportional to 459,903,643.60, 689,855,465.40 and 417,577,320.40

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Solution

The fourth proportional to 459,903,643.60, 689,855,465.40 and 417,577,320.40 is: 626,365,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,903,643.60 : 689,855,465.40 = 417,577,320.40 : x
  2. Step 2: Convert to fraction form
    459,903,643.60/689,855,465.40 = 417,577,320.40/x
  3. Step 3: Cross multiply
    459,903,643.60x = 689,855,465.40 × 417,577,320.40
  4. Step 4: Simplify right side
    459,903,643.60x = 288,067,996,705,026,880
  5. Step 5: Solve for x
    x = 288,067,996,705,026,880/459,903,643.60
  6. Step 6: Final answer
    x = 626,365,980.60

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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.