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Finding the Fourth Proportional to 459,011.25, 633,494.93 and 257,807.25

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Solution

The fourth proportional to 459,011.25, 633,494.93 and 257,807.25 is: 355,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,011.25 : 633,494.93 = 257,807.25 : x
  2. Step 2: Convert to fraction form
    459,011.25/633,494.93 = 257,807.25/x
  3. Step 3: Cross multiply
    459,011.25x = 633,494.93 × 257,807.25
  4. Step 4: Simplify right side
    459,011.25x = 163,319,584,503.21
  5. Step 5: Solve for x
    x = 163,319,584,503.21/459,011.25
  6. Step 6: Final answer
    x = 355,807.37

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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.