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Finding the Fourth Proportional to 390,730.24, 585,700.32 and 153,980.80

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Solution

The fourth proportional to 390,730.24, 585,700.32 and 153,980.80 is: 230,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,730.24 : 585,700.32 = 153,980.80 : x
  2. Step 2: Convert to fraction form
    390,730.24/585,700.32 = 153,980.80/x
  3. Step 3: Cross multiply
    390,730.24x = 585,700.32 × 153,980.80
  4. Step 4: Simplify right side
    390,730.24x = 90,186,603,833.86
  5. Step 5: Solve for x
    x = 90,186,603,833.86/390,730.24
  6. Step 6: Final answer
    x = 230,815.52

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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.