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Finding the Fourth Proportional to 730,083.96, 1,007,505 and 407,798.76

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Solution

The fourth proportional to 730,083.96, 1,007,505 and 407,798.76 is: 562,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,083.96 : 1,007,505 = 407,798.76 : x
  2. Step 2: Convert to fraction form
    730,083.96/1,007,505 = 407,798.76/x
  3. Step 3: Cross multiply
    730,083.96x = 1,007,505 × 407,798.76
  4. Step 4: Simplify right side
    730,083.96x = 410,859,289,693.80
  5. Step 5: Solve for x
    x = 410,859,289,693.80/730,083.96
  6. Step 6: Final answer
    x = 562,756.22

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1.5x scale

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.