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Finding the Fourth Proportional to 711,347,643.61, 981,762,430.07 and 409,875,216.13

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Solution

The fourth proportional to 711,347,643.61, 981,762,430.07 and 409,875,216.13 is: 565,686,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,347,643.61 : 981,762,430.07 = 409,875,216.13 : x
  2. Step 2: Convert to fraction form
    711,347,643.61/981,762,430.07 = 409,875,216.13/x
  3. Step 3: Cross multiply
    711,347,643.61x = 981,762,430.07 × 409,875,216.13
  4. Step 4: Simplify right side
    711,347,643.61x = 402,400,088,213,255,296
  5. Step 5: Solve for x
    x = 402,400,088,213,255,296/711,347,643.61
  6. Step 6: Final answer
    x = 565,686,963.09

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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.