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Finding the Fourth Proportional to 477,032.94, 715,374.45 and 139,987.08

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Solution

The fourth proportional to 477,032.94, 715,374.45 and 139,987.08 is: 209,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,032.94 : 715,374.45 = 139,987.08 : x
  2. Step 2: Convert to fraction form
    477,032.94/715,374.45 = 139,987.08/x
  3. Step 3: Cross multiply
    477,032.94x = 715,374.45 × 139,987.08
  4. Step 4: Simplify right side
    477,032.94x = 100,143,180,362.11
  5. Step 5: Solve for x
    x = 100,143,180,362.11/477,032.94
  6. Step 6: Final answer
    x = 209,929.28

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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.