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Finding the Fourth Proportional to 714,670.50, 985,963.98 and 408,582.42

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Solution

The fourth proportional to 714,670.50, 985,963.98 and 408,582.42 is: 563,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,670.50 : 985,963.98 = 408,582.42 : x
  2. Step 2: Convert to fraction form
    714,670.50/985,963.98 = 408,582.42/x
  3. Step 3: Cross multiply
    714,670.50x = 985,963.98 × 408,582.42
  4. Step 4: Simplify right side
    714,670.50x = 402,847,548,981.23
  5. Step 5: Solve for x
    x = 402,847,548,981.23/714,670.50
  6. Step 6: Final answer
    x = 563,682.91

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1.5x scale

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.