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Finding the Fourth Proportional to 477,030.94, 715,371.45 and 139,985.08

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Solution

The fourth proportional to 477,030.94, 715,371.45 and 139,985.08 is: 209,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,030.94 : 715,371.45 = 139,985.08 : x
  2. Step 2: Convert to fraction form
    477,030.94/715,371.45 = 139,985.08/x
  3. Step 3: Cross multiply
    477,030.94x = 715,371.45 × 139,985.08
  4. Step 4: Simplify right side
    477,030.94x = 100,141,329,657.97
  5. Step 5: Solve for x
    x = 100,141,329,657.97/477,030.94
  6. Step 6: Final answer
    x = 209,926.28

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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.