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Finding the Fourth Proportional to 507,274.58, 698,445.59 and 430,634.81

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Solution

The fourth proportional to 507,274.58, 698,445.59 and 430,634.81 is: 592,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,274.58 : 698,445.59 = 430,634.81 : x
  2. Step 2: Convert to fraction form
    507,274.58/698,445.59 = 430,634.81/x
  3. Step 3: Cross multiply
    507,274.58x = 698,445.59 × 430,634.81
  4. Step 4: Simplify right side
    507,274.58x = 300,774,983,537.93
  5. Step 5: Solve for x
    x = 300,774,983,537.93/507,274.58
  6. Step 6: Final answer
    x = 592,923.43

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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.