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Finding the Fourth Proportional to 383,386.10, 575,079.15 and 102,931.70

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Solution

The fourth proportional to 383,386.10, 575,079.15 and 102,931.70 is: 154,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,386.10 : 575,079.15 = 102,931.70 : x
  2. Step 2: Convert to fraction form
    383,386.10/575,079.15 = 102,931.70/x
  3. Step 3: Cross multiply
    383,386.10x = 575,079.15 × 102,931.70
  4. Step 4: Simplify right side
    383,386.10x = 59,193,874,544.06
  5. Step 5: Solve for x
    x = 59,193,874,544.06/383,386.10
  6. Step 6: Final answer
    x = 154,397.55

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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.