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Finding the Fourth Proportional to 472,148.40, 651,564.80 and 257,288.40

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Solution

The fourth proportional to 472,148.40, 651,564.80 and 257,288.40 is: 355,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,148.40 : 651,564.80 = 257,288.40 : x
  2. Step 2: Convert to fraction form
    472,148.40/651,564.80 = 257,288.40/x
  3. Step 3: Cross multiply
    472,148.40x = 651,564.80 × 257,288.40
  4. Step 4: Simplify right side
    472,148.40x = 167,640,064,888.32
  5. Step 5: Solve for x
    x = 167,640,064,888.32/472,148.40
  6. Step 6: Final answer
    x = 355,058.00

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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.