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Finding the Fourth Proportional to 570,013.40, 786,549.34 and 328,374.20

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Solution

The fourth proportional to 570,013.40, 786,549.34 and 328,374.20 is: 453,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,013.40 : 786,549.34 = 328,374.20 : x
  2. Step 2: Convert to fraction form
    570,013.40/786,549.34 = 328,374.20/x
  3. Step 3: Cross multiply
    570,013.40x = 786,549.34 × 328,374.20
  4. Step 4: Simplify right side
    570,013.40x = 258,282,510,283.03
  5. Step 5: Solve for x
    x = 258,282,510,283.03/570,013.40
  6. Step 6: Final answer
    x = 453,116.56

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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.