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Finding the Fourth Proportional to 425,697,802.40, 638,546,703.60 and 417,088,458.20

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Solution

The fourth proportional to 425,697,802.40, 638,546,703.60 and 417,088,458.20 is: 625,632,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,697,802.40 : 638,546,703.60 = 417,088,458.20 : x
  2. Step 2: Convert to fraction form
    425,697,802.40/638,546,703.60 = 417,088,458.20/x
  3. Step 3: Cross multiply
    425,697,802.40x = 638,546,703.60 × 417,088,458.20
  4. Step 4: Simplify right side
    425,697,802.40x = 266,330,460,093,216,384
  5. Step 5: Solve for x
    x = 266,330,460,093,216,384/425,697,802.40
  6. Step 6: Final answer
    x = 625,632,687.30

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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.