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Finding the Fourth Proportional to 525,710.40, 787,528.80 and 314,721.60

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Solution

The fourth proportional to 525,710.40, 787,528.80 and 314,721.60 is: 471,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,710.40 : 787,528.80 = 314,721.60 : x
  2. Step 2: Convert to fraction form
    525,710.40/787,528.80 = 314,721.60/x
  3. Step 3: Cross multiply
    525,710.40x = 787,528.80 × 314,721.60
  4. Step 4: Simplify right side
    525,710.40x = 247,852,323,982.08
  5. Step 5: Solve for x
    x = 247,852,323,982.08/525,710.40
  6. Step 6: Final answer
    x = 471,461.71

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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.