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Finding the Fourth Proportional to 524,551,036.80, 786,154,708.80 and 402,778,876.80

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Solution

The fourth proportional to 524,551,036.80, 786,154,708.80 and 402,778,876.80 is: 603,652,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,551,036.80 : 786,154,708.80 = 402,778,876.80 : x
  2. Step 2: Convert to fraction form
    524,551,036.80/786,154,708.80 = 402,778,876.80/x
  3. Step 3: Cross multiply
    524,551,036.80x = 786,154,708.80 × 402,778,876.80
  4. Step 4: Simplify right side
    524,551,036.80x = 316,646,510,601,495,040
  5. Step 5: Solve for x
    x = 316,646,510,601,495,040/524,551,036.80
  6. Step 6: Final answer
    x = 603,652,434.91

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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.