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Finding the Fourth Proportional to 510,307.02, 704,223.72 and 295,458.30

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Solution

The fourth proportional to 510,307.02, 704,223.72 and 295,458.30 is: 407,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,307.02 : 704,223.72 = 295,458.30 : x
  2. Step 2: Convert to fraction form
    510,307.02/704,223.72 = 295,458.30/x
  3. Step 3: Cross multiply
    510,307.02x = 704,223.72 × 295,458.30
  4. Step 4: Simplify right side
    510,307.02x = 208,068,743,130.88
  5. Step 5: Solve for x
    x = 208,068,743,130.88/510,307.02
  6. Step 6: Final answer
    x = 407,732.47

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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.