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Finding the Fourth Proportional to 472,771.65, 652,426.40 and 257,916.22

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Solution

The fourth proportional to 472,771.65, 652,426.40 and 257,916.22 is: 355,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,771.65 : 652,426.40 = 257,916.22 : x
  2. Step 2: Convert to fraction form
    472,771.65/652,426.40 = 257,916.22/x
  3. Step 3: Cross multiply
    472,771.65x = 652,426.40 × 257,916.22
  4. Step 4: Simplify right side
    472,771.65x = 168,271,349,929.93
  5. Step 5: Solve for x
    x = 168,271,349,929.93/472,771.65
  6. Step 6: Final answer
    x = 355,925.21

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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.