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Finding the Fourth Proportional to 654,058.76, 902,039.06 and 424,389.80

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Solution

The fourth proportional to 654,058.76, 902,039.06 and 424,389.80 is: 585,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,058.76 : 902,039.06 = 424,389.80 : x
  2. Step 2: Convert to fraction form
    654,058.76/902,039.06 = 424,389.80/x
  3. Step 3: Cross multiply
    654,058.76x = 902,039.06 × 424,389.80
  4. Step 4: Simplify right side
    654,058.76x = 382,816,176,265.59
  5. Step 5: Solve for x
    x = 382,816,176,265.59/654,058.76
  6. Step 6: Final answer
    x = 585,293.25

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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.