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Finding the Fourth Proportional to 517,344,877.80, 776,017,316.70 and 479,931,431.40

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Solution

The fourth proportional to 517,344,877.80, 776,017,316.70 and 479,931,431.40 is: 719,897,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,344,877.80 : 776,017,316.70 = 479,931,431.40 : x
  2. Step 2: Convert to fraction form
    517,344,877.80/776,017,316.70 = 479,931,431.40/x
  3. Step 3: Cross multiply
    517,344,877.80x = 776,017,316.70 × 479,931,431.40
  4. Step 4: Simplify right side
    517,344,877.80x = 372,435,101,595,018,112
  5. Step 5: Solve for x
    x = 372,435,101,595,018,112/517,344,877.80
  6. Step 6: Final answer
    x = 719,897,147.10

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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.