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Finding the Fourth Proportional to 806,641.52, 1,210,709.10 and 407,563.16

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Solution

The fourth proportional to 806,641.52, 1,210,709.10 and 407,563.16 is: 611,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,641.52 : 1,210,709.10 = 407,563.16 : x
  2. Step 2: Convert to fraction form
    806,641.52/1,210,709.10 = 407,563.16/x
  3. Step 3: Cross multiply
    806,641.52x = 1,210,709.10 × 407,563.16
  4. Step 4: Simplify right side
    806,641.52x = 493,440,426,636.76
  5. Step 5: Solve for x
    x = 493,440,426,636.76/806,641.52
  6. Step 6: Final answer
    x = 611,722.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.