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Finding the Fourth Proportional to 610,291.77, 913,641.86 and 407,384.60

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Solution

The fourth proportional to 610,291.77, 913,641.86 and 407,384.60 is: 609,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,291.77 : 913,641.86 = 407,384.60 : x
  2. Step 2: Convert to fraction form
    610,291.77/913,641.86 = 407,384.60/x
  3. Step 3: Cross multiply
    610,291.77x = 913,641.86 × 407,384.60
  4. Step 4: Simplify right side
    610,291.77x = 372,203,617,074.22
  5. Step 5: Solve for x
    x = 372,203,617,074.22/610,291.77
  6. Step 6: Final answer
    x = 609,878.15

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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.