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Finding the Fourth Proportional to 313,718.16, 432,931.23 and 170,477.87

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Solution

The fourth proportional to 313,718.16, 432,931.23 and 170,477.87 is: 235,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,718.16 : 432,931.23 = 170,477.87 : x
  2. Step 2: Convert to fraction form
    313,718.16/432,931.23 = 170,477.87/x
  3. Step 3: Cross multiply
    313,718.16x = 432,931.23 × 170,477.87
  4. Step 4: Simplify right side
    313,718.16x = 73,805,191,782.22
  5. Step 5: Solve for x
    x = 73,805,191,782.22/313,718.16
  6. Step 6: Final answer
    x = 235,259.54

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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.