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Finding the Fourth Proportional to 501,254.48, 691,729.80 and 286,461.20

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Solution

The fourth proportional to 501,254.48, 691,729.80 and 286,461.20 is: 395,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,254.48 : 691,729.80 = 286,461.20 : x
  2. Step 2: Convert to fraction form
    501,254.48/691,729.80 = 286,461.20/x
  3. Step 3: Cross multiply
    501,254.48x = 691,729.80 × 286,461.20
  4. Step 4: Simplify right side
    501,254.48x = 198,153,748,583.76
  5. Step 5: Solve for x
    x = 198,153,748,583.76/501,254.48
  6. Step 6: Final answer
    x = 395,315.67

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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.