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Finding the Fourth Proportional to 409,431,433.68, 614,254,712.04 and 147,142,466.64

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Solution

The fourth proportional to 409,431,433.68, 614,254,712.04 and 147,142,466.64 is: 220,752,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,431,433.68 : 614,254,712.04 = 147,142,466.64 : x
  2. Step 2: Convert to fraction form
    409,431,433.68/614,254,712.04 = 147,142,466.64/x
  3. Step 3: Cross multiply
    409,431,433.68x = 614,254,712.04 × 147,142,466.64
  4. Step 4: Simplify right side
    409,431,433.68x = 90,382,953,474,808,496
  5. Step 5: Solve for x
    x = 90,382,953,474,808,496/409,431,433.68
  6. Step 6: Final answer
    x = 220,752,355.68

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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.