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Finding the Fourth Proportional to 472,862.83, 652,647.83 and 289,132.81

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Solution

The fourth proportional to 472,862.83, 652,647.83 and 289,132.81 is: 399,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,862.83 : 652,647.83 = 289,132.81 : x
  2. Step 2: Convert to fraction form
    472,862.83/652,647.83 = 289,132.81/x
  3. Step 3: Cross multiply
    472,862.83x = 652,647.83 × 289,132.81
  4. Step 4: Simplify right side
    472,862.83x = 188,701,896,319.40
  5. Step 5: Solve for x
    x = 188,701,896,319.40/472,862.83
  6. Step 6: Final answer
    x = 399,062.66

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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.