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Finding the Fourth Proportional to 390,834.32, 585,852.96 and 154,045.52

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Solution

The fourth proportional to 390,834.32, 585,852.96 and 154,045.52 is: 230,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,834.32 : 585,852.96 = 154,045.52 : x
  2. Step 2: Convert to fraction form
    390,834.32/585,852.96 = 154,045.52/x
  3. Step 3: Cross multiply
    390,834.32x = 585,852.96 × 154,045.52
  4. Step 4: Simplify right side
    390,834.32x = 90,248,023,866.74
  5. Step 5: Solve for x
    x = 90,248,023,866.74/390,834.32
  6. Step 6: Final answer
    x = 230,911.21

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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.