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Finding the Fourth Proportional to 306,547.32, 459,832.54 and 138,035.34

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Solution

The fourth proportional to 306,547.32, 459,832.54 and 138,035.34 is: 207,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,547.32 : 459,832.54 = 138,035.34 : x
  2. Step 2: Convert to fraction form
    306,547.32/459,832.54 = 138,035.34/x
  3. Step 3: Cross multiply
    306,547.32x = 459,832.54 × 138,035.34
  4. Step 4: Simplify right side
    306,547.32x = 63,473,141,001.96
  5. Step 5: Solve for x
    x = 63,473,141,001.96/306,547.32
  6. Step 6: Final answer
    x = 207,058.22

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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.