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Finding the Fourth Proportional to 507,085, 699,750.69 and 277,598.29

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Solution

The fourth proportional to 507,085, 699,750.69 and 277,598.29 is: 383,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,085 : 699,750.69 = 277,598.29 : x
  2. Step 2: Convert to fraction form
    507,085/699,750.69 = 277,598.29/x
  3. Step 3: Cross multiply
    507,085x = 699,750.69 × 277,598.29
  4. Step 4: Simplify right side
    507,085x = 194,249,594,970.32
  5. Step 5: Solve for x
    x = 194,249,594,970.32/507,085
  6. Step 6: Final answer
    x = 383,071.07

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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.