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Finding the Fourth Proportional to 390,312.92, 585,666.12 and 153,825.32

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Solution

The fourth proportional to 390,312.92, 585,666.12 and 153,825.32 is: 230,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,312.92 : 585,666.12 = 153,825.32 : x
  2. Step 2: Convert to fraction form
    390,312.92/585,666.12 = 153,825.32/x
  3. Step 3: Cross multiply
    390,312.92x = 585,666.12 × 153,825.32
  4. Step 4: Simplify right side
    390,312.92x = 90,090,278,322.16
  5. Step 5: Solve for x
    x = 90,090,278,322.16/390,312.92
  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.