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Finding the Fourth Proportional to 387,274.70, 580,417.22 and 312,430.14

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Solution

The fourth proportional to 387,274.70, 580,417.22 and 312,430.14 is: 468,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,274.70 : 580,417.22 = 312,430.14 : x
  2. Step 2: Convert to fraction form
    387,274.70/580,417.22 = 312,430.14/x
  3. Step 3: Cross multiply
    387,274.70x = 580,417.22 × 312,430.14
  4. Step 4: Simplify right side
    387,274.70x = 181,339,833,303.01
  5. Step 5: Solve for x
    x = 181,339,833,303.01/387,274.70
  6. Step 6: Final answer
    x = 468,246.01

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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.