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Finding the Fourth Proportional to 402,130.63, 555,155.72 and 310,048.80

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Solution

The fourth proportional to 402,130.63, 555,155.72 and 310,048.80 is: 428,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,130.63 : 555,155.72 = 310,048.80 : x
  2. Step 2: Convert to fraction form
    402,130.63/555,155.72 = 310,048.80/x
  3. Step 3: Cross multiply
    402,130.63x = 555,155.72 × 310,048.80
  4. Step 4: Simplify right side
    402,130.63x = 172,125,364,799.14
  5. Step 5: Solve for x
    x = 172,125,364,799.14/402,130.63
  6. Step 6: Final answer
    x = 428,033.46

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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.