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Finding the Fourth Proportional to 601,748.16, 830,394.63 and 329,810.10

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Solution

The fourth proportional to 601,748.16, 830,394.63 and 329,810.10 is: 455,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,748.16 : 830,394.63 = 329,810.10 : x
  2. Step 2: Convert to fraction form
    601,748.16/830,394.63 = 329,810.10/x
  3. Step 3: Cross multiply
    601,748.16x = 830,394.63 × 329,810.10
  4. Step 4: Simplify right side
    601,748.16x = 273,872,535,959.76
  5. Step 5: Solve for x
    x = 273,872,535,959.76/601,748.16
  6. Step 6: Final answer
    x = 455,128.17

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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.