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Finding the Fourth Proportional to 303,948.15, 455,430.15 and 286,233.45

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Solution

The fourth proportional to 303,948.15, 455,430.15 and 286,233.45 is: 428,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,948.15 : 455,430.15 = 286,233.45 : x
  2. Step 2: Convert to fraction form
    303,948.15/455,430.15 = 286,233.45/x
  3. Step 3: Cross multiply
    303,948.15x = 455,430.15 × 286,233.45
  4. Step 4: Simplify right side
    303,948.15x = 130,359,343,068.52
  5. Step 5: Solve for x
    x = 130,359,343,068.52/303,948.15
  6. Step 6: Final answer
    x = 428,886.78

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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.