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Finding the Fourth Proportional to 513,240, 708,271.20 and 286,929.24

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Solution

The fourth proportional to 513,240, 708,271.20 and 286,929.24 is: 395,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,240 : 708,271.20 = 286,929.24 : x
  2. Step 2: Convert to fraction form
    513,240/708,271.20 = 286,929.24/x
  3. Step 3: Cross multiply
    513,240x = 708,271.20 × 286,929.24
  4. Step 4: Simplify right side
    513,240x = 203,223,717,129.89
  5. Step 5: Solve for x
    x = 203,223,717,129.89/513,240
  6. Step 6: Final answer
    x = 395,962.35

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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.