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Finding the Fourth Proportional to 515,779,648.40, 773,669,472.60 and 257,499,322.40

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Solution

The fourth proportional to 515,779,648.40, 773,669,472.60 and 257,499,322.40 is: 386,248,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,779,648.40 : 773,669,472.60 = 257,499,322.40 : x
  2. Step 2: Convert to fraction form
    515,779,648.40/773,669,472.60 = 257,499,322.40/x
  3. Step 3: Cross multiply
    515,779,648.40x = 773,669,472.60 × 257,499,322.40
  4. Step 4: Simplify right side
    515,779,648.40x = 199,219,364,956,065,376
  5. Step 5: Solve for x
    x = 199,219,364,956,065,376/515,779,648.40
  6. Step 6: Final answer
    x = 386,248,983.60

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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.