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Finding the Fourth Proportional to 357,359.36, 493,386.70 and 221,538.46

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Solution

The fourth proportional to 357,359.36, 493,386.70 and 221,538.46 is: 305,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,359.36 : 493,386.70 = 221,538.46 : x
  2. Step 2: Convert to fraction form
    357,359.36/493,386.70 = 221,538.46/x
  3. Step 3: Cross multiply
    357,359.36x = 493,386.70 × 221,538.46
  4. Step 4: Simplify right side
    357,359.36x = 109,304,129,702.48
  5. Step 5: Solve for x
    x = 109,304,129,702.48/357,359.36
  6. Step 6: Final answer
    x = 305,866.14

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1.5x scale

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.