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Finding the Fourth Proportional to 553,301.40, 829,952.10 and 385,339.80

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Solution

The fourth proportional to 553,301.40, 829,952.10 and 385,339.80 is: 578,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,301.40 : 829,952.10 = 385,339.80 : x
  2. Step 2: Convert to fraction form
    553,301.40/829,952.10 = 385,339.80/x
  3. Step 3: Cross multiply
    553,301.40x = 829,952.10 × 385,339.80
  4. Step 4: Simplify right side
    553,301.40x = 319,813,576,223.58
  5. Step 5: Solve for x
    x = 319,813,576,223.58/553,301.40
  6. Step 6: Final answer
    x = 578,009.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.