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Finding the Fourth Proportional to 390,095.36, 585,143.04 and 137,316.32

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Solution

The fourth proportional to 390,095.36, 585,143.04 and 137,316.32 is: 205,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,095.36 : 585,143.04 = 137,316.32 : x
  2. Step 2: Convert to fraction form
    390,095.36/585,143.04 = 137,316.32/x
  3. Step 3: Cross multiply
    390,095.36x = 585,143.04 × 137,316.32
  4. Step 4: Simplify right side
    390,095.36x = 80,349,688,926.41
  5. Step 5: Solve for x
    x = 80,349,688,926.41/390,095.36
  6. Step 6: Final answer
    x = 205,974.48

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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.