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Finding the Fourth Proportional to 537,472.80, 742,018.40 and 356,429.16

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Solution

The fourth proportional to 537,472.80, 742,018.40 and 356,429.16 is: 492,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,472.80 : 742,018.40 = 356,429.16 : x
  2. Step 2: Convert to fraction form
    537,472.80/742,018.40 = 356,429.16/x
  3. Step 3: Cross multiply
    537,472.80x = 742,018.40 × 356,429.16
  4. Step 4: Simplify right side
    537,472.80x = 264,476,995,016.54
  5. Step 5: Solve for x
    x = 264,476,995,016.54/537,472.80
  6. Step 6: Final answer
    x = 492,075.12

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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.