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Finding the Fourth Proportional to 761,875.75, 1,051,495.71 and 471,580.48

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Solution

The fourth proportional to 761,875.75, 1,051,495.71 and 471,580.48 is: 650,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,875.75 : 1,051,495.71 = 471,580.48 : x
  2. Step 2: Convert to fraction form
    761,875.75/1,051,495.71 = 471,580.48/x
  3. Step 3: Cross multiply
    761,875.75x = 1,051,495.71 × 471,580.48
  4. Step 4: Simplify right side
    761,875.75x = 495,864,851,639.74
  5. Step 5: Solve for x
    x = 495,864,851,639.74/761,875.75
  6. Step 6: Final answer
    x = 650,847.40

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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.