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Finding the Fourth Proportional to 536,830.50, 740,840.27 and 291,831.74

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Solution

The fourth proportional to 536,830.50, 740,840.27 and 291,831.74 is: 402,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,830.50 : 740,840.27 = 291,831.74 : x
  2. Step 2: Convert to fraction form
    536,830.50/740,840.27 = 291,831.74/x
  3. Step 3: Cross multiply
    536,830.50x = 740,840.27 × 291,831.74
  4. Step 4: Simplify right side
    536,830.50x = 216,200,706,711.84
  5. Step 5: Solve for x
    x = 216,200,706,711.84/536,830.50
  6. Step 6: Final answer
    x = 402,735.51

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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.