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Finding the Fourth Proportional to 257,484.48, 355,328.49 and 142,762.77

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Solution

The fourth proportional to 257,484.48, 355,328.49 and 142,762.77 is: 197,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,484.48 : 355,328.49 = 142,762.77 : x
  2. Step 2: Convert to fraction form
    257,484.48/355,328.49 = 142,762.77/x
  3. Step 3: Cross multiply
    257,484.48x = 355,328.49 × 142,762.77
  4. Step 4: Simplify right side
    257,484.48x = 50,727,679,492.32
  5. Step 5: Solve for x
    x = 50,727,679,492.32/257,484.48
  6. Step 6: Final answer
    x = 197,012.57

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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.