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Finding the Fourth Proportional to 307,547.98, 424,416.47 and 171,581.95

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Solution

The fourth proportional to 307,547.98, 424,416.47 and 171,581.95 is: 236,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,547.98 : 424,416.47 = 171,581.95 : x
  2. Step 2: Convert to fraction form
    307,547.98/424,416.47 = 171,581.95/x
  3. Step 3: Cross multiply
    307,547.98x = 424,416.47 × 171,581.95
  4. Step 4: Simplify right side
    307,547.98x = 72,822,205,534.72
  5. Step 5: Solve for x
    x = 72,822,205,534.72/307,547.98
  6. Step 6: Final answer
    x = 236,783.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.