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Finding the Fourth Proportional to 686,526.24, 947,462.16 and 380,698.48

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Solution

The fourth proportional to 686,526.24, 947,462.16 and 380,698.48 is: 525,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,526.24 : 947,462.16 = 380,698.48 : x
  2. Step 2: Convert to fraction form
    686,526.24/947,462.16 = 380,698.48/x
  3. Step 3: Cross multiply
    686,526.24x = 947,462.16 × 380,698.48
  4. Step 4: Simplify right side
    686,526.24x = 360,697,404,169.52
  5. Step 5: Solve for x
    x = 360,697,404,169.52/686,526.24
  6. Step 6: Final answer
    x = 525,394.93

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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.