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Finding the Fourth Proportional to 586,503.85, 808,685.74 and 470,124.27

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Solution

The fourth proportional to 586,503.85, 808,685.74 and 470,124.27 is: 648,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,503.85 : 808,685.74 = 470,124.27 : x
  2. Step 2: Convert to fraction form
    586,503.85/808,685.74 = 470,124.27/x
  3. Step 3: Cross multiply
    586,503.85x = 808,685.74 × 470,124.27
  4. Step 4: Simplify right side
    586,503.85x = 380,182,790,928.32
  5. Step 5: Solve for x
    x = 380,182,790,928.32/586,503.85
  6. Step 6: Final answer
    x = 648,218.75

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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.